Stephen Wiggins

Introduction to Applied Nonlinear Dynamical Systems and Chaos

This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take speci...

Global Dynamics, Phase Space Transport, Orbits Homoclinic to Resonances, and Applications

This monograph, which grew out of a series of lectures delivered by Stephen Wiggins at the Fields Institute in early 1993, is concerned with the geome...

Global Bifurcations and Chaos

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Global Bifurcations and Chaos

Analytical Methods

Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in determinist...

Chaotic Transport in Dynamical Systems

Provides a new and more realistic framework for describing the dynamics of non-linear systems. A number of issues arising in applied dynamical systems...

Normally Hyperbolic Invariant Manifolds in Dynamical Systems

In the past ten years, there has been much progress in understanding the global dynamics of systems with several degrees-of-freedom. An important tool...

Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations

In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stab...

Ordinary Differential Equations: A Dynamical Point Of View

Ordinary differential equations is a standard course in the undergraduate mathematics curriculum that usually comes after the first university calculu...

Lagrangian Transport in Geophysical Jets and Waves

The Dynamical Systems Approach

Written jointly by a specialist in geophysical fluid dynamics and an applied mathematician, this is the first accessible introduction to a new set of ...

Elementary Classical Mechanics

This book develops elementary classical mechanics in a setting that is appropriate for beginning university mathematics students without requiring a b...

The Mathematical Foundations of Mixing

The Linked Twist Map as a Paradigm in Applications: Micro to Macro, Fluids to Solids

Mixing processes occur in many technological and natural applications, with length and time scales ranging from the very small to the very large. The ...

The Mathematical Foundations of Mixing

The Linked Twist Map as a Paradigm in Applications : Micro to Macro, Fluids to Solids

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Normally Hyperbolic Invariant Manifolds in Dynamical Systems

In the past ten years, there has been much progress in understanding the global dynamics of systems with several degrees-of-freedom. An important tool...

Invariant Manifolds and Fibrations for Perturbed Non Linear Schrodinger Equations

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Ordinary Differential Equations

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Elementary Classical Mechanics

Problems and Solutions

This Problems and Solutions book addresses the numerous problems in the textbook that develops elementary classical mechanics in a setting that is app...